Question 7 The life of a car battery is approximately normal. A manufacturer states that the mean life of a car battery
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Question 7 The life of a car battery is approximately normal. A manufacturer states that the mean life of a car battery
Question 7 The life of a car battery is approximately normal. A manufacturer states that the mean life of a car battery is 49 months with a standard deviation of 6 months. a i. What is the probability that a car battery is selected and its life is at least 51 months? Round to 4 decimal places, if necessary. If a production manager takes a sample of 16 car batteries, then for this sample size, describe the sampling distribution of ii. Center: Mi = iii. Spread: SE, Round to 1 decimal place, if necessary. iv. From the given information what can we say about the shape of the sampling distribution of T? The distribution of ū is not approximately normal because the population is not normal. O The distribution of ã is not approximately normal because the sample size is small, in other words n < 30. O It is impossible to know the distribution of of a given the information. The distribution of is approximately normal because the population is normal, so the sampling distribution of any size n is approximately normal. The distribution of of a is approximately normal because np > 10 and n(1 – p) > 10. The distribution of is approximately normal because the sample size is large, in other words n> 30.
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